The area of the new rug in factored form is 2(9x + 19x) square units
Given:
Area of blue rug = 8(x + 1)
Area of red rug = 10 (x+3)
Total area = blue + red
= 8(x + 1) + 10 (x+3)
= 8x + 8 + 10x + 30
= 8x + 10x + 8 + 30
= 18x + 38
= 2(9x + 19x)
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